导数空间的新型D′Alembert原理及任意阶非完整系统的Tzenoff方程

SOME NEW D′ALEMBERT PRINCIPLE AND TZENOFF EQUATIONS FOR ARBITRARY ORDER NONHOLONOMIC MECHANICAL SYSTEM IN DERIVATIVE SPACE

定义了导数空间中的两种Ｔｚｅｎｏｆｆ 函数，确立了导数空间的新型Ｄ′Ａｌｅｍｂｅｒｔ 原理，得到了任意阶非完整系统的通常形式和新型形式的Ｔｚｅｎｏｆｆ 方程。

This paper defines two kinds of Tzenoff functions and establishes a new type of D′Alembert principle in the derivative space. Both common and new\|type forms of Tzenoff equations for arbitrary order nonholonomic mechanical systems are given, and a case by using the new equations is presented.